Simplify (-2y^3)^4

${(- 2 y^{3})}^{4}$

Step 1

Apply the product rule to $- 2 y^{3}$ .

${(- 2)}^{4} {(y^{3})}^{4}$

Step 2

Raise $- 2$ to the power of $4$ .

$16 {(y^{3})}^{4}$

Step 3

Multiply the exponents in ${(y^{3})}^{4}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$16 y^{3 \cdot 4}$

Multiply $3$ by $4$ .

$16 y^{12}$